Newry find out Bet McLean League Cup fate
City made it through to this stage of the competition with a 2-1 win over Harland and Wolff Welders at the Blanchflower Stadium on Tuesday night.
Jordan Mooney and Adam Salley found the net for the visitors, with Michael McLellan scoring the Welders' goal.
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Hide AdThe draw for the last 16 took place at Windsor Park, with Gary Boyle's side being handed a trip to Carrick Rangers.
City will take confidence from their 2-0 win over Stuart King's side when the sides last met in August. Lorcan Forde and Darragh Owens found the net on that occasion.
The cup tie will be played on Tuesday, November 7.
FULL DRAW: Annagh United v Loughgall, Ards v Larne, Ballymena United v Coleraine, Carrick Rangers v Newry City, Dungannon Swifts v Cliftonville, Glentoran v Linfield, Limavady United v Glenavon, Portadown v Crusaders.